Potential r2+λr2/(1+gr2) and the analytic continued fractions
- 1 February 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (2) , 293-301
- https://doi.org/10.1088/0305-4470/16/2/012
Abstract
The author constructs the exact wavefunctions and an analytic (continued-fractional) Green function for the one- and three-dimensional Schrodinger equation with the potential V(r)=h/r2+r2+ lambda r2/(1+gr2), h>-1/4; lambda ,g>0. In the numerical application of the formulae, the energy and norm of the boundary state psi may be approximated by both their lower and upper estimates.Keywords
This publication has 12 references indexed in Scilit:
- On the Schrodinger equation for the interaction x2+λx2/(1+gx2)Journal of Physics A: General Physics, 1982
- On the x2+λx2/(1+gx2) interactionJournal of Physics A: General Physics, 1981
- On the Schrödinger equation for the interactionPhysics Letters A, 1981
- A note on the Schrödinger equation for the x2+λx2/(1+g x2) potentialJournal of Mathematical Physics, 1980
- The ψ(0) problem for charmonium HamiltoniansJournal of Physics A: General Physics, 1980
- Small g and large λ solution of the Schrodinger equation for the interaction λx2/(1+gx2)Journal of Physics A: General Physics, 1979
- Analytic continued fraction theory for a class of confinement potentialsLetters in Mathematical Physics, 1979
- On the interaction of the type λx2/(1+g x2)Journal of Mathematical Physics, 1978
- Anharmonic oscillator and the analytic theory of continued fractionsPhysical Review D, 1978
- Eigenvalues of λx2m anharmonic oscillatorsJournal of Mathematical Physics, 1973